Given the numbers c = - 3 and d = 4, which statement is true? A. |-c| = 3 and |-d| = - 4 B. |-c| = 3 and - |d| = - 4 C. - |c| = - 4 and - |d| = 3 D. |-c| = 3 and - |d| = 4

D. |-c| = 3 and - |d| = 4

Step-by-step explanation:

We are given these values of two variables and asked which of the statements in the given options is true:

c = - 3 and d = 4

In mathematics, we know that the absolute value or modulus of a real number x is the non-negative value of x despite of whatever sign it has, positive or negative.

Therefore, the modulus of c |-c| = 3 and modulus of - |d| = 4 so option D is the correct one.